Li, Xingming (2026) Shanghai Mechanism with Minority Allotments. Masters thesis, Concordia University.
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Abstract
This thesis analyzes the properties of affirmative action policies (AAPs) under the Shanghai Mechanism, a parallel admission system intermediate between Deferred Acceptance (DA) and Immediate Acceptance (IA). We employ a formal model to evaluate the Shanghai Mechanism under stylized quota-based and reserve-based AAPs. The analysis reveals several shortcomings. The mechanism fails to satisfy minimal responsiveness under both implementations, meaning stronger AAPs can harm minority students. It violates Affirmative Action fairness and within-minority fairness due to irreversible, round-based assignments, allowing lower-priority students to preempt higher-priority peers based on the choice band of their application. Consequently, the mechanism is manipulable by all students. Furthermore, we identify a trade-off: the reserve implementation is non-wasteful but fails to respect the AAP, while the quota implementation respects the AAP but is wasteful. These results indicate that parallel mechanisms introduce new structural trade-offs related to the multi-round structure rather than resolving the inherent tensions in affirmative action design.
| Divisions: | Concordia University > Faculty of Arts and Science > Economics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Li, Xingming |
| Institution: | Concordia University |
| Degree Name: | M.A. |
| Program: | Economics |
| Date: | February 2026 |
| Thesis Supervisor(s): | Pápai, Szilvia |
| Keywords: | Shanghai Mechanism, affirmative action, school choice, mechanism design, minority reserves, majority quotas, market design, Deferred Acceptance, Immediate Acceptance, matching theory |
| ID Code: | 996787 |
| Deposited By: | Xingming Li |
| Deposited On: | 29 Jun 2026 13:58 |
| Last Modified: | 29 Jun 2026 13:58 |
References:
Abdulkadiroğlu, Atila, Parag A Pathak, Alvin E Roth, and Tayfun Sönmez. 2005. "The Boston public school match." American Economic Review 95 (2): 368–371.Abdulkadiroğlu, Atila, and Tayfun Sönmez. 2003. "School choice: A mechanism design approach." American Economic Review 93 (3): 729–747.
Afacan, Mustafa Oğuz, and Umutcan Salman. 2016. "Affirmative actions: The Boston mechanism case." Economics Letters 141:95–97.
Ayoade, Nickesha, and Szilvia Pápai. 2023. "School choice with preference rank classes." Games and Economic Behavior 137:317–341.
Chaudhury, Muntasir, and Szilvia Pápai. 2025. Affirmative Action Policies in School Choice: Immediate versus Deferred Acceptance. Working paper.
Chen, Yajing, Yanyue Huang, Zhenhua Jiao, and Yunfan Zhao. 2022. "A comparison study on responsiveness of three mechanisms to affirmative action in school choice." Operations Research Letters 50 (5): 488–494.
Chen, Yan, and Onur Kesten. 2017. "Chinese college admissions and school choice reforms: A theoretical analysis." Journal of Political Economy 125 (1): 99–139.
Chen, Yan, and Onur Kesten. 2019. "Chinese college admissions and school choice reforms: An experimental study." Games and Economic Behavior 115:83–100.
Chen, Yan, and Tayfun Sönmez. 2006. "School choice: An experimental study." Journal of Economic Theory 127 (1): 202–231.
Doğan, Battal. 2016. "Responsive affirmative action in school choice." Journal of Economic Theory 165:69–105.
Gale, David, and Lloyd S Shapley. 1962. "College admissions and the stability of marriage." The American Mathematical Monthly 69 (1): 9–15.
Hafalir, Isa E, M Bumin Yenmez, and Muhammed A Yildirim. 2013. "Effective affirmative action in school choice." Theoretical Economics 8 (2): 325–363.
Klijn, Flip, Joana Pais, and Marc Vorsatz. 2016. "Affirmative action through minority reserves: An experimental study on school choice." Economics Letters 139:72–75.
Kojima, Fuhito. 2012. "School choice: Impossibilities for affirmative action." Games and Economic Behavior 75 (2): 685–693.
Pápai, Szilvia. 2000. "Strategyproof assignment by hierarchical exchange." Econometrica 68 (6): 1403–1433.
Pathak, Parag A, and Tayfun Sönmez. 2008. "Leveling the playing field: Sincere and sophisticated players in the Boston mechanism." American Economic Review 98 (4): 1636–1652.
Shapley, Lloyd, and Herbert Scarf. 1974. "On cores and indivisibility." Journal of Mathematical Economics 1 (1): 23–37.
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